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A cube has ___ vertices.

If two lines are transversal to three parallel lines, then the number of times they intersect the parallel lines is equal to-

How to find area and perimeter of a square

Identify the nets of a cube.

What is the number we reach if we skip two numbers on the right side of -6 on a number line?

Prashanthi travels 30 km towards North then takes about turn and then travels south for 55 km. Taking North direction as positive and south direction as negative, find the prashanthi's distance from the initial starting point.

The rational number between $\frac{1}{6}$ and $\frac{1}{4}$ is

To express the number$0.00000000837$ in the standard form – with what number should $8.37$ be divided by?

How many right angles do you need to add to get a straight angle?

__

Which of the following will not maintain the balance of equation?

The length of two sides of a triangle are $7cm$ and $9cm$. The length of the third side may lie between

a) $1cm$ and $10cm$
b) $2cm$ and $8cm$
c) $2cm$ and $16cm$
d) $1cm$ and $16cm$

Question 127

The angles of a triangle are arranged in descending order of their magnitudes. If the difference between two consecutive angles is ${10}^{\circ }$, find the three angles.

Question 57 (b)

Add the following expression:

$x^3-x^{2}y-x{y}^2-y^3$ and $x^3-2x^{2}y+3x{y}^2+4y$

Convert the ratio 5:4 into percentage. [2 MARKS]

Which among the given options must be the length of side AC for triangle construction to be possible, if length of side AB is 6 cm and $\angle$ B = 70${}^{\circ }$?

Question 100 (iii)

Express the following property with variables x, y and z.

Associative property of addition

The minimum angle that an inclined plane makes with the horizontal when a body placed on it just begins to slide down is called

The population of a town 2 years ago was 62500. Since some people migrate to different cities the number of people decreases every year at the rate of 4% per annum. Find its present population. [4 MARKS]

In the quadrilateral ABCD, if AD = BC and $\angle DAB$ = $\angle CBA$, then relation between $\angle ABD$ and $\angle BAC$ is

Question 18

Which of the following has the largest value?
(a) 0.0001
(b) $\frac{1}{10000}$
(c) $\frac{1}{{10}^6}$
(d) $\frac{1}{{10}^6}÷0.1$

Question 84(ii)

What is the type of the other angle of a linear pair, if one of its angles is obtuse?

If base and the altitude of a triangle are $(3m+2n)$ cm and $(3m-4n)$ cm respectively, then the area of the triangle when $m=2$ and $n=1$ is _____.

What is the measure of the $\angle D$?

Solve: $21+5y\ge 41$.

You go to Pizza Hut along with two of your friends and order one large pizza. What will be each one's share assuming each one has the same number of slices?

Construct the diagonal of a square of side 5 cm using angle bisector construction method. What is the angle made by the diagonal with a side of the square?[3 MARKS]

Question 81 (d)

Express each of the following in single exponential form.
$(-5{)}^5\times (-5)$

Question 9 (ii)

Which is greater in each of the following:
$\frac{-5}{6},\frac{-4}{3}$

Match the images on the left with the corresponding unknown sides.

Study the table below and answer the question that follows :

$\begin{array}{ccccc}\text{Beverages}& \text{\% of vitamin}& \text{\% of minerals}& \text{\% of micronutrients}& \text{Cost/250gm~(In)}\\ \text{Orange juice}& 20& 20& 40& 8\\ \text{Pineapple juice}& 15& 20& 10& 10\\ \text{Litchi juice}& 12& 18& 30& 8\end{array}$

Which of these is the cheapest:

i) 200 grams of Litchi juice + 200 grams of Pineapple juice

ii) 300 grams of Pineapple juice + 100 grams of Litchi juice

iii) 100 grams of Pineapple juice + 100 grams of Litchi juice + 100 grams of Orange juice

What number should be subtracted from $\frac{-2}{3}$ to get $\frac{-1}{6}$ ?

Find the value of $y=x^3+2$ , when x = -1

The fish caught by Neetu was of weight
$3\frac{3}{4}$ kg and the fish caught by Narendra was of weight $2\frac{1}{2}$ kg. How much more did Neetu's fish weigh than that of Narendra's fish?

What is the least number that must be subtracted from 1160 so that the sum of 1160and resulting number is completely divisible by 19?

3.2 added thrice gives

18(7-(4))+(-6)

Question 112

I have three sides. One of my angle measures ${15}^{\circ }$. Another has a measure of ${60}^{\circ }$. What kind of a polygon am I? If I am a triangle, then what kind of triangle am I?

Question 85

In the figures, perimeter of $\Delta ABC$ = perimeter of $\Delta PQR$. Find the area of $\Delta ABC.$

Question 81 (ii)

Imagine that, a $10\times 10$ grid has value 300 and that this value is divided evenly among the small squares. In other words, each small square is worth 3. Use a new grid for each part of this problem and label each grid "Value:300".

What is the value of 25 squares?

A cricket bat was purchased for Rs. 800 and was sold for Rs. 1600. Then, profit earned is

(a) 100 %
(b) 64 %
(c) 50 %
(d) 60 %

The length of a side of the square is in direct proportion to:

Question 3
Draw $\Delta$ PQR with PQ = 4 cm, QR = 3.5 cm and PR = 4 cm. What type of triangle is this?

The denominator of a rational number is greater than its numerator by $3$. If the numerator is increased by $7$ and the denominator is decreased by $1$, the number becomes $\frac{3}{2}$. The original number is: